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2100201210 = 234516315907
BaseRepresentation
bin111110100101110…
…1000011011111010
312102100220021110000
41331023220123322
513300122414320
6544222333430
7103021262412
oct17513503372
95370807400
102100201210
11988566288
124a742a276
1327615b613
1415ccdd642
15c45a6c90
hex7d2e86fa

2100201210 has 80 divisors (see below), whose sum is σ = 5682210336. Its totient is φ = 556582752.

The previous prime is 2100201203. The next prime is 2100201217. The reversal of 2100201210 is 121020012.

It is an interprime number because it is at equal distance from previous prime (2100201203) and next prime (2100201217).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2100201192 and 2100201201.

It is not an unprimeable number, because it can be changed into a prime (2100201217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 124077 + ... + 139983.

Almost surely, 22100201210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100201210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841105168).

2100201210 is an abundant number, since it is smaller than the sum of its proper divisors (3582009126).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2100201210 is a wasteful number, since it uses less digits than its factorization.

2100201210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16089 (or 16080 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2100201210 is about 45827.9522780584. The cubic root of 2100201210 is about 1280.6200629407.

Adding to 2100201210 its reverse (121020012), we get a palindrome (2221221222).

The spelling of 2100201210 in words is "two billion, one hundred million, two hundred one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 163 270 326 405 489 810 815 978 1467 1630 2445 2934 4401 4890 7335 8802 13203 14670 15907 22005 26406 31814 44010 47721 66015 79535 95442 132030 143163 159070 238605 286326 429489 477210 715815 858978 1288467 1431630 2147445 2576934 2592841 4294890 5185682 6442335 7778523 12884670 12964205 15557046 23335569 25928410 38892615 46671138 70006707 77785230 116677845 140013414 210020121 233355690 350033535 420040242 700067070 1050100605 2100201210